Search a number
-
+
42403458241 = 172121132
BaseRepresentation
bin100111011111011100…
…010110110011000001
311001110011120212101101
4213133130112303001
51143320241130431
631251353134401
73030540306454
oct473734266301
9131404525341
1042403458241
1116a8a712871
1282749ba401
133cc9cac2c1
1420a388b49b
1511829e2961
hex9df716cc1

42403458241 has 9 divisors (see below), whose sum is σ = 45048223081. Its totient is φ = 39905842432.

The previous prime is 42403458169. The next prime is 42403458269. The reversal of 42403458241 is 14285430424.

The square root of 42403458241 is 205921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 394856641 + 42008601600 = 19871^2 + 204960^2 .

It is not a de Polignac number, because 42403458241 - 231 = 40255974593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42403458241.

It is not an unprimeable number, because it can be changed into a prime (42403458271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3494601 + ... + 3506713.

Almost surely, 242403458241 is an apocalyptic number.

42403458241 is the 205921-st square number.

42403458241 is the 102961-st centered octagonal number.

It is an amenable number.

42403458241 is a deficient number, since it is larger than the sum of its proper divisors (2644764840).

42403458241 is an frugal number, since it uses more digits than its factorization.

42403458241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 42403458241 its reverse (14285430424), we get a palindrome (56688888665).

The spelling of 42403458241 in words is "forty-two billion, four hundred three million, four hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 17 289 12113 205921 3500657 146724769 2494321073 42403458241